Examination of Darcys law for flow in porous media with variable porosity.
Examination of Darcys law for flow in porous media with variable porosity.
复制标题
检查具有可变孔隙率的多孔介质中的流动达西定律。
DOI：
10.1021/es049728w
复制
发表时间：
2004
影响因子：
11.4
通讯作者：
Miller,CT
中科院分区：
文献类型：
--
作者：
Gray,WG;Miller,CT
1856年亨利·达西关于饱和水在垂直柱体中均匀多孔介质中流动的实验研究，为定量描述各种天然和工程多孔介质环境系统中的流体流动提供了基础。对达西最初的观察和结论进行了外推，得出了几个常用的方程，用于模拟多孔介质中的流动。这项工作检查了这项原始的实验研究，总结了直接从数据得出的适当的数学表达式，并指出了数据建议的、但实际上并不支持的常用表达式。对于具有空间可变孔隙率的多孔介质的情况，说明了常见方法中存在的悖论。达西定律和哈伯特势的一种修正形式是基于平均的基本概念推导出来的。本文推导的达西定律的修正形式简化为均匀多孔介质的常规形式。
Henry Darcy's experimental studies in 1856 of saturated water flow through a homogeneous porous medium contained in a vertical column have provided the basis for the quantitative description of fluid flow in a wide variety of both natural and engineered porous medium environmental systems. Extrapolation of Darcy's original observations and conclusions has led to several commonly applied equations used to model flow in porous media. This work examines this original experimental study, summarizes the appropriate mathematical expressions that ensue directly from the data, and indicates expressions in common use that are suggested, but not actually supported, by the data. The paradoxes that exist in the common approaches for the case of a porous medium with a spatially variable porosity are illustrated. A modified form of Darcy's law, and also of the Hubbert potential, is derived based upon fundamental notions of averaging. The modified form of Darcy's law derived here reduces to the conventional form for a homogeneous porous medium.
DOI：
10.1103/physreve.64.066702
发表时间：
2001-11
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
C. Pan;M. Hilpert;C. T. Miller
通讯作者：
C. Pan;M. Hilpert;C. T. Miller
影响因子：
5.4
作者：
GRAY, WG;HASSANIZADEH, SM
通讯作者：
HASSANIZADEH, SM